• ### MATH D003 - Elementary Algebra

Developmental course for students who need preparation for Intermediate Algebra and covers review of Pre-Algebra concepts including whole numbers, integers, fractions, decimals, ratio and proportion, percentages, linear equations, exponents, simplifying and evaluating linear and quadratic polynomials, and other related topics. Warning: Does not meet any graduation requirements.

Requisites: Math placement level DV and WARNING no credit for this course if taken after any other MATH course including developmental MATH courses

Credits: 2

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 2.0 lecture

• ### MATH D004 - Intermediate Algebra with PreAlgebra

Developmental course in algebra for students in need of preparation for math placement level PL1. Review of arithmetic operations with whole numbers, integers, fractions, and decimal numbers. Operations and equations with rational expressions, equations of a line, introduction to functions, introduction to systems of linear equations in two and three variables, absolute-value equations and inequalities, rational exponents, operations and equations with radicals, introduction to complex numbers, quadratic equations and various application problems on these topics. Same as Math D005, but with more review of basic pre-algebra material. No credit for this course if taken after any higher level MATH course.

Requisites: MATH Placement Level DV and WARNING: No credit for this course if the following is taken (keeps credit for the following course, as defined by department): MATH course above D004

Credits: 5

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 5.0 lecture

• ### MATH D005 - Intermediate Algebra

Developmental course in algebra for students in need of preparation for math placement level PL1. Operations and equations with rational expressions, equations of a line, introduction to functions, introduction to systems of linear equations in two and three variables, absolute-value equations and inequalities, rational exponents, operations and equations with radicals, introduction to complex numbers, quadratic equations and various application problems on these topics. No credit for this course if taken after D004 or any higher level MATH course.

Requisites: Math placement level DV and WARNING: no credit for this course if taken after any other MATH course

Credits: 4

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 4.0 lecture

• ### MATH D300 - Peer-Led Team Learning Laboratory for Pre-Calculus

Small groups of students concurrently enrolled in MATH 1300 Pre-Calculus meet in weekly workshops with a peer mentor. Together, they work on problem sets, reading, and team-based learning projects to master the material in MATH 1300 and the mathematical reasoning it requires.

Requisites: MATH 1300 concurrent

Credits: 1

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 2.0 laboratory

• ### MATH D301 - Peer-Led Team Learning Laboratory for Calculus I

Small groups of students concurrently enrolled in MATH 2301 meet in weekly workshops with a peer mentor. Together, they work on problem sets, reading, and team-based learning projects to master the material in MATH 263A and the mathematical reasoning it requires.

Requisites: MATH 2301 concurrent

Credits: 1

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 2.0 laboratory

• ### MATH 1060 - Quantitative Reasoning

This course develops critical thinking and problem solving skills in a variety of mathematical and quantitative contexts including real life situations. The course focuses on framing real-life problems mathematically and quantitatively and then using logical and quantitative techniques, such as linear and exponential growth modeling and statistical literacy, to make predictions and decisions and to solve these problems. Not recommended for students with majors in STEM areas. No credit if Math 1250 or any higher have been completed. Cannot be used for College of Arts and Science requirements.

Requisites: ((C or better in MATH D004 or MATH D005) or Math Placement Level 1 or higher) and Warning: No credit if Math 1250 or higher

Credits: 3

General Education Code: 1M

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 1090 - Consumer Mathematics

Applications of elementary mathematics to day-to-day problems. Special emphasis on consumer topics such as compound interest, mortgages, and installment buying. Scientific calculator required. Does not apply to arts and sciences requirements. No credit for this course if taken after MATH 1250 or higher level MATH course.

Requisites: C or better in MATH D005 or MATH 102 or MATH D004 or Math Placement Level 1 or higher and WARNING: No credit for this course if taken after MATH 1250 or higher

Credits: 3

General Education Code: 1M

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 1101 - Elementary Topics in Mathematics I

Elementary Topics in Mathematics I&II is a sequence for majors in elementary education and related fields. The course focuses on the development of arithmetic and number systems, including whole numbers, integers, and rational numbers. Probability and data analysis are studied as applications of rational numbers and emphasize mathematical representation and communication. Satisfies Tier I requirement for elementary education majors only. Does not apply to Arts and Sciences natural science requirements.

Requisites: (C or better in MATH D004 or MATH D005 or Math placement level 1 or higher) and (education or prim early childhood major)

Credits: 3

General Education Code: 1M

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 1102 - Elementary Topics in Mathematics II

This is a continuation of MATH 1101. Elementary Topics in Mathematics I and II develop mathematical topics usually taught in grades preK-5 to a depth required for future elementary educators (and related fields) to establish professional expertise. The courses are taught through an inquiry approach that focuses on problem solving and discussion. Key themes include 1) explaining and justifying standard and nonstandard algorithms for basic arithmetic operations learned in grades preK-5; 2) students' construction and critique of their own ideas and others' ideas; and 3) using manipulatives to represent and justify algorithms. Topics include ratios and proportional reasoning, foundations of number theory, algebraic reasoning, and measurement. Properties of two-dimensional and three-dimensional geometric objects are explored. Does not apply to Arts & Sciences Natural Science requirements.

Requisites: MATH 1101

Credits: 3

General Education Code: 1M

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 1200 - College Algebra

Equations, functions and graphs, including linear equations and systems, polynomials, rational and radical expressions, quadratic equations, exponential and logarithmic functions, and inequalities. Students who will not need MATH 1200 for their intended majors or as a prerequisite for other classes should consider MATH 1090, MATH 1250, MATH 1260, or another Tier I quantitative skills course instead. No credit for both this course and MATH 1321 (first course taken deducted). No credit if the student has credit for MATH 2301, 2302, or higher than 2500.

Requisites: C or better in MATH D005 or MATH 102 or MATH D004 or Math Placement Level 1 or higher WARNING: No credit for this course and MATH 1321 (first course taken deducted). No credit if the student has credit for MATH 2301, 2302, or higher than 2500.

Credits: 4

General Education Code: 1M

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 4.0 lecture

• ### MATH 1250 - Introductory Game Theory

The course introduces mathematical models for situations of conflict, whether actual or recreational, and considers two-person, n-person, zero-sum and nonzero-sum games, Nash equilibria, cooperation and the prisoner's dilemma. Application to fields such as environmental policy, business decisions, football, evolution, warfare and poker will be analyzed. The course uses elements of algebra, geometry and probability skills, including matrix manipulation, linear and quadratic equations, graphing equations, extracting information from graphs, determining probabilities and expectation values.

Requisites: C or better in MATH D004 or MATH D005 or MATH 102 or Math Placement Level 1 or higher

Credits: 3

General Education Code: 1M

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 1260 - Finite Mathematics

A course in the use of intermediate algebraic and combinatorial techniques in the context of common business applications. Topics include systems of linear equations and matrices, linear programming, mathematics of finance (compound interest, annuities, amortization), sets, counting and elementary probability.

Requisites: C or better in MATH D004 or MATH D005 or MATH 102 or Math Placement Level 1 or higher

Credits: 3

General Education Code: 1M

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 1300 - Pre-Calculus

Course provides a rigorous treatment of graphs, inverses, and algebraic operations of polynomial, rational, exponential, logarithmic, and trigonometric functions, trigonometry and analytic geometry. The course also includes introductions to linear systems, polar coordinates, vectors, conic sections, sequences and series. Recommended only for students intending to enroll in MATH 2301 Calculus I. No credit for both this course and MATH 1322 (first course taken deducted).

Requisites: (C or better in MATH 1200 or MATH 1321) or math placement level 2 or higher WARNING: No credit for both this course and MATH 1322 (first course taken deducted)

Credits: 4

General Education Code: 1M

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 4.0 lecture

• ### MATH 1321 - Elementary Applied Mathematics I

Course provides a rigorous treatment of graphs, inverses, and algebraic operations of polynomial, rational, exponential and logarithmic functions, equations and inequalities and an introduction to linear systems, sequences and series. Intended, together with MATH 1322, to prepare students for MATH 2301 Calculus I. Students cannot keep credit for both MATH 1200 and MATH 1321 (first course taken deducted). No credit if the student has credit for MATH 2301, 2302, or higher than 2500.

Requisites: C or better in MATH D005 or MATH 102 or MATH D004 or Math Placement Level 1 or higher WARNING: No credit for this course and MATH 1200 (first course taken deducted)

Credits: 3

General Education Code: 1M

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 1322 - Elementary Applied Mathematics II

A rigorous course in trigonometry and analytic geometry including right angle trigonometry, trigonometric functions and their graphs, inverse trigonometric functions, trigonometric identities and equations and introductions to vectors, polar coordinates and conic sections. Intended to prepare students for MATH 2301 Calculus I. Students cannot earn credit for both MATH 1300 and MATH 1322 (first course taken deducted)..

Requisites: C or better in (MATH 1200 or 1321) or Math placement level 2 or higher and WARNING: No credit for both this course and MATH 1300 (first course taken deducted)

Credits: 3

General Education Code: 1M

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 1350 - Survey of Calculus

Presents a survey of basic concepts of calculus. For students who want an introduction to calculus, but do not need the depth of 2301 and 2301. Note: Students cannot earn credit for both MATH 1350 and 2301 (MATH 1350 always deducted).

Requisites: MATH 1321 or (C or better in 1200) or math placement level 2 or higher and WARNING: No credit for this course and MATH 2301 (MATH 1350 always deducted)

Credits: 4

General Education Code: 2AS

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 4.0 lecture

• ### MATH 2110 - Introductory Geometry for Middle School Teachers

Intended for middle childhood education majors. Core concepts and principles of Euclidean geometry in two- and three-dimensions. Informal and formal proof. Measurement. Properties and relations of geometric shapes and structures. Symmetry. Transformational geometry. Tessellations. Congruence and similarity. Coordinate geometry. Constructions. Historical development of Euclidean and non-Euclidean geometries including contributions from diverse cultures. Dynamic Geometry Software to build and manipulate representations of two- and three- dimensional objects.

Requisites: (MATH 1300 or 1322 or 1350 or 2301 or Math placement level 3) and middle childhood education major

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 2120X - Number and Algebra for Middle School Teachers

This course develops topics usually taught in grades 4-9 to a depth required for future middle grades mathematics teachers. The course is taught through an inquiry approach that focuses on problem solving and discussion. Key topics include 1) explaining properties of the natural numbers (parity, primes, factorization, divisibility, converting to other bases, modular arithmetic); 2 )explaining and justifying standard and alternative algorithms for basic arithmetic operations on whole and rational numbers learned in grades 4-9; 3) understanding different meanings of and uses for rational numbers (fractions, ratios, and proportions); and 4) explaining and using ideas of algebra (with an emphasis on graphing, solving, and modeling with linear, quadratic, and exponential functions).

Requisites: (MATH 1300 or 1322 or 1350 or 2301 or Math placement level 3) and middle childhood education major

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: lecture

• ### MATH 2301 - Calculus I

First course in calculus and analytic geometry with applications in the sciences and engineering. Includes basic techniques of differentiation and integration with applications including rates of change, optimization problems, and curve sketching; includes exponential, logarithmic and trigonometric functions. No credit for both MATH 2301 and 1350 (always keep 2301).

Requisites: (A in 163A) or (B or better in MATH 1350) or (C or better in 1300 or 1322) or (Math placement level 3)

Credits: 4

General Education Code: 2AS

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture, 1.0 recitation

• ### MATH 2302 - Calculus II

Second course in calculus and analytic geometry with applications in the sciences and engineering. Includes techniques of integration, conic sections, polar coordinates, infinite series, vectors and vector operations.

Requisites: C or better in MATH 2301 or 263B

Credits: 4

General Education Code: 2AS

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture, 1.0 recitation

• ### MATH 2500 - Introduction to Statistics

An introductory course in applied statistics. Organization of data, central tendency and dispersion, descriptive bivariate data, correlation, designed experiments, probability, random variables, binomial and normal distributions, distributions, inferences from large samples, estimation, confidence intervals and hypothesis testing. Students cannot earn credit for MATH 2500 and any of the following: COMS 3520, ECON 3810, GEOG 2710, ISE 3040, ISE 3200, PSY 1110, PSY 2110, QBA 2010.

Requisites: (MATH 1200 or 1250 or 1260 or 1321) or Math placement 2 or higher and WARNING: Not COMS 3520 or ECON 3810 or GEOG 2710 or ISE 3040 or ISE 3200 or PSY 1110 or PSY 2110 or QBA 2010

Credits: 4

General Education Code: 1M

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 4.0 lecture

• ### MATH 2900 - Special Topics in Mathematics

Specific course content will vary with offering.

Credits: 1 - 15

Repeat/Retake Information: May be repeated.

Lecture/Lab Hours: 1.0 lecture

• ### MATH 2970T - Mathematics Tutorial

Special course for students in the HTC math program, taken during the Fall Semester by first year students.

Requisites: HTC

Credits: 1 - 15

Repeat/Retake Information: May be repeated for a maximum of 15.0 hours.

Lecture/Lab Hours: 1.0 tutorial

• ### MATH 2971T - Mathematics Tutorial

Special course for students enrolled in the HTC, taken in the Fall Semester by 2nd year students.

Requisites: HTC

Credits: 1 - 15

Repeat/Retake Information: May be repeated for a maximum of 15.0 hours.

Lecture/Lab Hours: 1.0 tutorial

• ### MATH 2980T - Mathematics Tutorial

Special program for students enrolled in HTC, taken in the Spring Semester of the first year.

Requisites: HTC

Credits: 1 - 15

Repeat/Retake Information: May be repeated for a maximum of 15.0 hours.

Lecture/Lab Hours: 1.0 tutorial

• ### MATH 2981T - Mathematics Tutorial

Special program for students enrolled in HTC, taken in the Spring semester by 2nd year students.

Requisites: HTC

Credits: 1 - 15

Repeat/Retake Information: May be repeated for a maximum of 15.0 hours.

Lecture/Lab Hours: 1.0 tutorial

• ### MATH 3000 - History of Mathematics

Main lines of mathematical development in terms of contributions made by great mathematicians: Euclid, Archimedes, Descartes, Newton, Gauss, etc.

Requisites: MATH 2301

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 3050 - Discrete Mathematics

Course in discrete mathematical structures and their applications with an introduction to methods of proofs. The main topics are introductions to logic and elementary set theory, basic number theory, induction and recursion, counting techniques, graph theory and algorithms. Applications may include discrete and network optimization, discrete probability and algorithmic efficiency. No credit for both this course and CS 3000 (first taken deducted).

Requisites: C or better in MATH 2301 or MATH 263B and WARNING: No credit for both this course and CS 3000 (first course taken deducted)

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 3060X - Introduction to Mathematical Reasoning, Problem Solving, and Proof

Techniques of problem solving, reasoning, and proof using concepts including logic, set theory, relations, functions, and counting. This course serves as a foundation for advanced study of mathematics and proof-based courses in particular.

Requisites: C or better in MATH 2302

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: lecture

• ### MATH 3070 - Introduction to Number Theory

Investigation of properties of the natural numbers. Topics include mathematical induction, factorization, Euclidean algorithm, Diophantine equations, congruences, divisibility, multiplicative functions, and applications to cryptography.

Requisites: CS 3000 or MATH 3050

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 3110 - College Geometry

An axiomatic approach to Euclidean geometry. A core batch of theorems of Euclidean geometry are proven, and interesting geometric problems are solved using the axioms and theorems. Additional concepts and techniques -- such as similarity, transformations, coordinate systems, vectors, matrix representations of transformations, complex numbers, and symmetry -- are introduced as ways of simplifying the proofs of theorems or the solutions of geometric problems. Hyperbolic geometry is introduced from an axiomatic standpoint, primarily to illustrate the independence of the Parallel Postulate. Computers are used to produce dynamic drawings to illustrate theorems and problems.

Requisites: (CS 3000 or MATH 3050) and (3200 or 3210)

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 3200 - Applied Linear Algebra

A course on linear algebra with an emphasis on applications and computations. Solutions to linear systems, matrices and matrix algebra, determinants, n-dimensional real vector spaces and subspaces, bases and dimension, eigenvalues and eigenvectors, diagonalization, norms, inner product spaces, orthogonality and least squares problems. No credit for both this course and MATH 3210 (first taken deducted).

Requisites: C or better in (MATH 163A or 263A or 1350 or 2301 or 2302) and WARNING No credit for both this course and the following (always deduct credit for first course taken): MATH 3210

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 3210 - Linear Algebra

A course in linear algebra for students majoring or minoring in the mathematical sciences. The course will introduce both the practical and theoretical aspects of linear algebra and students will be expected to complete both computational and proof-oriented exercises. Topic covered will include: Solutions to linear systems, matrices and matrix algebra, determinants, n-dimensional real vector spaces and subspaces, bases and dimension, linear mappings, matrices of linear mappings, eigenvalues and eigenvectors, diagonalization, inner product spaces, orthogonality and applications. No credit for both this course and MATH 3200 (first course taken deducted).

Requisites: MATH 2302 and (3050 or CS 3000) and WARNING: No credit for both this course and MATH 3200 (first course taken deducted)

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 3240 - Abstract Algebra

An elementary introduction to algebraic structures. Mappings, relations, definitions, and examples of groups, groups of rotations, cyclic groups, Lagrange's Theorem, fields, polynomials over fields.

Requisites: MATH 3070 and (3200 or 3210)

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 3300 - Calculus III

Third course in calculus and analytic geometry with applications in the sciences and engineering. Includes partial differentiation, multiple integrals, line and surface integrals, and the integral theorems of vector calculus.

Requisites: C or better in MATH 2302

Credits: 4

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture, 1.0 recitation

• ### MATH 3320 - Vector Analysis

Vector algebra and its applications. Vector calculus and space curves. Scalar and vector fields, gradient, divergence, curl, and Laplacian. Line and surface integrals. Divergence theorem, Stoke's theorem, and Green's theorem.

Requisites: MATH 3300

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 3400 - Elementary Differential Equations

Introduction to ordinary differential equations and their use as models for applications with an emphasis on exact solution methods for linear equations and systems including Laplace transform methods.

Requisites: C or better in MATH 2302

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 3500 - Probability

A mathematical introduction to univariate probability theory with some applications, particularly to statistics. Topics will include the basic rules of probability, conditional probability, independent events, the Law of total probability, Bayes' Theorem, univariate random variables, discrete and continuous distributions and the density function, expectation, variance, higher moments, and special discrete and continuous distributions such as Bernoulli, binomial, Poisson, uniform, exponential, gamma and normal. No credit for both this course and ISE 3210 (first course taken deducted).

Requisites: MATH 2302 and (MATH 3050 or CS 3000) and (MATH 2500 or COMS 3520 or GEOG 2710 or GEOL 3050 or ECON 3810 or ISE 3040 or ISE 3200 or PSY 2110 or QBA 2010) and WARNING: No credit for both this course and ISE 3210 (first course taken deducted)

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 3600 - Applied Numerical Methods

A survey of numerical methods for engineering, science and mathematics students. Topics include: solutions of systems of linear and nonlinear equations, eigenvalues, numerical differentiation and integration, and numerical solution of ordinary and partial differential equations. The topics will be posed in a setting of problems intended for engineering students using MATLAB. The course will simultaneously introduce numerical methods, programming techniques, problem solving skills and the Matlab language, in a lecture-lab format.

Requisites: MATH 3400

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 3680 - Quantitative Foundations for Bioinformatics

Bioinformatics is the science of extracting biologically relevant information from large sets of biomolecular data. The course will introduce students to the mathematical models, statistical techniques, and algorithms on which this process is based.

Requisites: BIOS 1700 or EE 3713 or MATH 2500 or PBIO 3150 or (PBIO 1140 and PSY 2110)

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 3970T - Mathematics Tutorial

Special program for students enrolled in HTC, taken in the Fall Semester by 3rd year students.

Requisites: HTC

Credits: 1 - 15

Repeat/Retake Information: May be repeated for a maximum of 15.0 hours.

Lecture/Lab Hours: 1.0 tutorial

• ### MATH 3980T - Mathematics Tutorial

Special program for students enrolled in HTC, taken in the Spring Semester of the 3rd year.

Requisites: HTC

Credits: 1 - 15

Repeat/Retake Information: May be repeated for a maximum of 15.0 hours.

Lecture/Lab Hours: 1.0 tutorial

• ### MATH 4100 - Teaching of Mathematics in Secondary School

Selected topics related to teaching of mathematics in grades 7-12

Requisites: MATH 3110 and (4100L concurrent)

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 4100L - Teaching of Mathematics in Secondary School Early Field Experience

Early field experience for students in teaching mathematics in secondary schools.

Requisites: MATH 4100 concurrent

Credits: 1

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 2.0 laboratory

• ### MATH 4150 - Advanced Perspectives for Math Teachers

Key math content topics such as algebra, calculus, discrete mathematics, and mathematical modeling, studied throughout the AYA Math Content courses are revisited in light of their applicability to High School mathematics. Students will synthesize previous content knowledge and bring a depth of understanding of mathematics to topics and themes they will likely teach in a grades 8-12 setting. This course is intended as a final mathematics content course for AYA Mathematics majors.

Requisites: MATH 3110 and 3300 and (3240 or concurrent)

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 4221 - Modern Algebra I

Groups, permutation groups, subgroups, quotient groups. Conjugate classes and class equation formula and its application to p-groups. Fundamental theorem on homomorphisms.

Requisites: (CS 3000 or MATH 3050) and (3200 or 3210)

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 4222 - Modern Algebra II

Fundamental theorem on finite abelian groups and its consequences. Cauchy theorem and first Sylow theorem. Polynomial rings. UFD and Euclidean domains. Maximal ideals. Algebraic extensions and splitting fields. Fundamental theorem of Galois theory.

Requisites: MATH 4221

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 4230 - Introduction to Algebraic Coding Theory

Encoding and decoding. Vector spaces over finite fields. Linear Codes, parity-check matrices, syndrome decoding, Hamming Codes, and Cyclic Codes.

Requisites: MATH 3200 or 3210

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 4301 - Advanced Calculus I

A proof-based course on functions of one variable. Topics include properties of the real and complex numbers, metric spaces and basic topology, sequences and series, a careful study of limits and continuity, differentiation and Riemann-Stieltjes integration.

Requisites: MATH 3300 and (3200 or 3210)

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 4302 - Advanced Calculus II

Sequences and series of functions, uniform convergence, power series and elementary functions, multidimensional differentiation and integration, special functions (as time permits)

Requisites: MATH 4301

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 4310 - Complex Variables

A first course in complex variables focused on developing analytic techniques that are useful in applications. The course is also essential for further study in mathematics and students will be expected to do some proofs. Topics will include: Analytic and harmonic functions, Cauchy integration and residue theorems, contour integration, Taylor and Laurent expansions, conformality and linear fractional transformations with applications.

Requisites: MATH 3300

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 4330 - Hilbert Spaces and Applications

A course in applied linear analysis, especially Hilbert spaces, for advanced undegraduate and graduate students in mathematics, the sciences or engineering. The course will introduce both the practical and theoretical aspects of linear analysis and students will be expected to complete both computational and proof-oriented exercises. Topic covered will include: Normed Vector Spaces, the spaces L1 and L2, Hilbert Spaces, orthonormal systems, linear operators on Hilbert space and applications to differential equations.

Requisites: MATH 3400 and (3200 or 3210)

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 4400 - Advanced Differential Equations

An introduction to the qualitative theory of differential equations, with emphasis on linear systems.

Requisites: MATH 3400 and (3200 or 3210)

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 4410 - Fourier Analysis and Partial Differential Equations

Representation of functions as sums of infinite series of trigonometric functions and complex exponentials,, Bessel functions, Legendre polynomials, or other sets of orthogonal functions. Use of such representations for solution of partial differential equations dealing with vibrations, heat flow, and other physical problems.

Requisites: MATH 3300 and 3400

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 4470 - Applied Dynamical Systems

A survey of applied dynamical systems for scientists, engineers and mathematicians with an emphasis on continuous time models.

Requisites: MATH 3400 and (3200 or 3210)

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 4500 - Theory of Statistics

Probability distributions of one and several variables, sampling theory, estimation of parameters, confidence intervals, analysis of variance, correlation, and testing of statistical hypotheses.

Requisites: MATH 3300 and 3500 and (3200 or 3210)

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 4510 - Applied Statistics

Applications of the theory of statistics, including hypotheses testing, regression and correlation analysis, experimental design, and nonparametric statistics.

Requisites: MATH 4500

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 4520 - Stochastic Processes

Markov chains, Poisson process, birth and death process, queuing, and related topics.

Requisites: MATH 4500

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 4530 - Statistical Computing

Introduction to computational statistics; Monte Carlo methods, bootstrap, data partitioning methods, EM algorithm, probability density estimation, Markov Chain Monte Carlo methods.

Requisites: MATH 4500

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 4550 - Basic Principles of Actuarial Science

Basic concepts of risk theory and utility theory, applied calculus and probability models for the analysis of claims, frequency and severity of distributions, loss distributions, premium determination, insurance with deductible, reinsurance and self-insurance.

Requisites: MATH 4500 concurrent

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 4560 - Theory of Interest and Life Contingencies

Theory of interest and contingent payment models. Mathematical models for the actuarial present value of a future set of payments contingent on some random event(s); life insurance, life annuities, benefit reserves.

Requisites: MATH 4550

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 4580X - Elements of Financial Mathematics

This course is designed for advanced undergraduate students and master's degree students interested in applications of mathematics in finance. The course introduces basic ideas and methods of stochastic calculus and applications of these methods to financial models, particularly to the pricing and hedging of derivative securities in continuous time models. The course will cover the following topics: introduction to financial derivatives, concepts of arbitrage and risk-neutral pricing, probability distribution, expectation, conditional expectation, Brownian motion Ito's integral, Ito's formula and its applications to financial modeling, and also the Black-Scholes option pricing model

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: lecture

• ### MATH 4600 - Introduction to Numerical Analysis

A survey of the ideas, methods, and algorithms in Numerical Analysis.

Requisites: MATH 3400 and (3200 or 3210) and (3600 or CS 2300 or 2400 or ET 2100)

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 4610 - Introduction to Waves and Wavelets with Applications

An elementary introduction to Fourier and wavelet analysis and its applications in engineering, such as data analysis and signal and image analysis. Focus on understanding basic mathematical concepts and methodology, developing related numerical algorithms and their implementation using computer software such as Matlab wavelet toolbox. Prior experience with computer software and computer algebra systems, such as Matlab and basic computer programming skills are required.

Requisites: MATH 2302 and (3200 or 3210) and (3600 or CS 2300 or CS 2400 or ET 2100)

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 4620 - Linear and Nonlinear Optimization

Solution methods, theory and applications of linear and nonlinear optimization problems. The focus is on the mathematics of efficient optimization algorithms, such as Simplex method and steepest ascent. Applications include production planning, financial models, network problems, game theory.

Requisites: MATH 3300 and (3200 or 3210 ) and (3600 or CS 2300 or 2400 or ET 2100)

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 4630 - Discrete Modeling and Optimization

Modeling and solving real-life problems by discrete optimization techniques. The discrete models include integer programming, dynamic programming, network optimization problems. Applications in large economic systems, scheduling, voting theory, telecom and transportation networks are discussed.

Requisites: MATH 3300

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 4700 - Introduction to Topology

Topology of Euclidean spaces and general metric spaces. Introduction to general topological spaces.

Requisites: MATH 4301

Credits: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 3.0 lecture

• ### MATH 4900 - Special Topics in Mathematics

Specific course content will vary with offering.

Credits: 1 - 15

Repeat/Retake Information: May be repeated.

Lecture/Lab Hours: 1.0 lecture

• ### MATH 4930 - Studies in Mathematics

Independent study of selected topics in mathematics studied under guidance of instructor with expertise and interest in field. (May be repeated for credit).

Requisites: 6 hours in MATH 4200-4799 and (Jr or Sr)

Credits: 1 - 3

Repeat/Retake Information: May be repeated for a maximum of 6.0 hours.

Lecture/Lab Hours: 1.0 independent study

• ### MATH 4940 - Mathematics Research

An advanced student works together with a faculty member on a research project in a topic of mathematics of interest to both the student and faculty. The student and faculty member must agree upon a research plan before the student registers for the course. The course can be taken (twice) as a Tier III equivalent. The student will be expected to write results and progress reports and present a final presentation on the project

Requisites: MATH 3300 and (3200 or 3210) and (3050 or CS 3000) and (6 hours MATH 4200-4799) and (Jr or Sr)

Credits: 2

General Education Code: 3

Repeat/Retake Information: May be repeated for a maximum of 4.0 hours.

Lecture/Lab Hours: 2.0 research

• ### MATH 4970T - Mathematics Tutorial (thesis)

Special program for students enrolled in HTC, taken in the Fall Semester by 4th year students.

Requisites: HTC

Credits: 1 - 15

Repeat/Retake Information: May be repeated for a maximum of 15.0 hours.

Lecture/Lab Hours: 1.0 tutorial

• ### MATH 4980T - Mathematics Tutorial (thesis)

Special program for students enrolled in HTC, taken in the Spring Semester by 4th year students.

Requisites: HTC

Credits: 1 - 15

Repeat/Retake Information: May be repeated for a maximum of 15.0 hours.

Lecture/Lab Hours: 1.0 tutorial

• ### MATH 4993 - Undergraduate Mathematics Seminar I

Student participate in a weekly seminar on topics in mathematics that are beyond the material covered in our regular courses. During the first semester the student will develop a proposal for a topic of interest to be presented in the second semester.

Requisites: MATH 3300 and (3200 or 3210) and (3050 or CS 3000) and (6 hours MATH 4200-4799) and (Jr or Sr)

Credits: 1

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 2.0 seminar

• ### MATH 4994 - Undergraduate Mathematics Seminar II

The student participates in a weekly seminar on topics in mathematics that are beyond the material covered in regular courses. During the first semester the student will develop a proposal for a topic of interest to be presented in the second semester. The study topic will be presented in the weekly public seminar and a final written report will be submitted to the instructor. The course can be taken with (MATH 4993) as a TIER III equivalent.

Requisites: MATH 4993 and sr only

Credits: 2

General Education Code: 3

Repeat/Retake Information: May be retaken two times excluding withdrawals, but only last course taken counts.

Lecture/Lab Hours: 2.0 seminar

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